Math Review 1A 2023

Absolute Value

100

Find the absolute value of:

|-10|

10

Absolute value is the distance from zero.

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-abs-value/v/absolute-value-of-integers

200

What is greater:

|-6| or |3|

|-6|

The absolute value of a number is the number's distance from zero.

300

Place the following in order from smallest number, to biggest number:

|-20|, 18, |12|, |-14|, 8

8, |12|, |-14|, 18, |-20|

The absolute value of a number is the number's distance from zero.

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-abs-value/v/absolute-value-of-integers

400

What is:

|-7| + |-2|

9

The absolute value of a number is the number's distance from zero.

500

2 x |-5| + |4| - 14

0

Remember to use your order of operations.

Exponents

100

When you see the following expression, what is the big number called and what is the little number on top of it called?

2⁴

Big number = base; little number = power

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/introduction-to-exponents

200

How can you rewrite 9² in expanded form?

9 x 9

300

How can you rewrite the following in exponential form?

7 x 7 x 7 x 7 x 7 

7⁵

400

What is the value of:

8⁴

4096

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/introduction-to-exponents

500

What is the value of:

2³ + 3² - 4²

1

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/introduction-to-exponents

Order of Operations

100

Simplify the following expression:

62

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations

200

Simplify the following expression:

5

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations

300

3 + 4² * (3 + 2)

83

400

45

500

12

Adding Integers

100

-4 + -5

 -9

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

200

14 + -12

2

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

300

-10 + 15

5

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

400

-2 + -3 + 5

0

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

500

6 + (-2 + -5)

-1

Distributive Property

100

8(4+2) = ?

48

200

5(x-3)

5x-15

300

7+9(2x-3)

18x-20

400

-3(-x-10)

3x+30

500

Solve for x

-4y + 2x + 28 = 0

x = 2y - 14

Fire Facts

100

What is "recognized" as the Official Dog of a Firehouse?

Dalmation

200

The three sides of the fire triangle are:

Fuel, Oxygen, and Heat

300

What is added to the fire triangle to create the fire tetrahedron?

Uninhibited Chemical Chain Reaction

400

Who is considered the "father" of the American Fire Service?

Ben Franklin

500

What is the name of the shape of a traditional fire department badge / patch?

Maltese Cross

Formulas

100

What is the area of a fenced field that is 25 feet by 75 feet?

1875 ft²

200

If a fire truck holds 750 gallons of water, how long will a hose-stream flowing 125 gpm be able to be supplied?

6 minutes

300

What is the volume of a house that measures 58 feet long and is 36 feet deep, with standard 10 foot ceilings?

20880 ft³

400

What is the volume of a storage tank measuring 125 feet in diameter and standing 65 feet high?

Remember formula is:

V = pir^2h

797265.625 ft³

500

What is the gpm of a 7/8" solid bore nozzle flowing at 50 psi?

Remember the formula for gpm is:

GPM = 29.7 d^2sqrt(NP)

160.77 gpm